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        <h2>
          <span class="refentrytitle">GEN19</span>
        </h2>
        <p>GEN19 — 
      Generate composite waveforms made up of weighted sums of simple sinusoids.
    </p>
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      <div class="refsect1">
        <a id="idp214770752"></a>
        <h2>Description</h2>
        <p>
      These subroutines generate composite waveforms made up of weighted sums of simple sinusoids. The specification of each contributing partial requires 4 p-fields using <span class="emphasis"><em>GEN19</em></span>.
    </p>
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      <div class="refsect1">
        <a id="idp214813824"></a>
        <h2>Syntax</h2>
        <pre class="synopsis"><span class="command"><strong>f</strong></span> # time size  19  pna   stra  phsa  dcoa  pnb strb  phsb  dcob  ...</pre>
      </div>
      <div class="refsect1">
        <a id="idp214815840"></a>
        <h2>Initialization</h2>
        <p>
      <span class="emphasis"><em>size</em></span> -- number of points in the table. Must be a power of 2 or power-of-2 plus 1 (see <a class="link" href="f.html" title="f Statement (or Function Table Statement)"><em class="citetitle">f statement</em></a>).
    </p>
        <p>
      <span class="emphasis"><em>pna, pnb</em></span>, etc. -- partial no. (relative to a fundamental that would occupy <span class="emphasis"><em>size</em></span> locations per cycle) of sinusoid a, sinusoid b, etc. Must be positive, but need not be a whole number, i.e., non-harmonic partials are permitted. Partials may be in any order.
    </p>
        <p>
      <span class="emphasis"><em>stra, strb</em></span>, etc. -- strength of partials <span class="emphasis"><em>pna, pnb</em></span>, etc. These are relative strengths, since the composite waveform may be rescaled later. Negative values are permitted and imply a 180 degree phase shift.
    </p>
        <p>
      <span class="emphasis"><em>phsa, phsb</em></span>, etc. -- initial phase of partials <span class="emphasis"><em>pna, pnb,</em></span> etc., expressed in degrees.
    </p>
        <p>
      <span class="emphasis"><em>dcoa, dcob</em></span>, etc. -- DC offset of partials <span class="emphasis"><em>pna, pnb</em></span>, etc. This is applied <span class="emphasis"><em>after</em></span> strength scaling, i.e. a value of 2 will lift a 2-strength sinusoid from range [-2,2] to range [0,4] (before later rescaling).
    </p>
        <div class="note" style="margin-left: 0.5in; margin-right: 0.5in;">
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              </td>
              <th align="left">Note</th>
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                <p>
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                <div class="itemizedlist">
                  <ul class="itemizedlist" style="list-style-type: disc; ">
                    <li class="listitem">
                      <p>
              These subroutines generate stored functions as sums of sinusoids of different frequencies. The two major restrictions on <span class="emphasis"><em>GEN10</em></span> that the partials be harmonic and in phase do not apply to <span class="emphasis"><em>GEN09</em></span> or <span class="emphasis"><em>GEN19</em></span>.
            </p>
                      <p>
              In each case the composite wave, once drawn, is then rescaled to unity if p4 was positive. A negative p4 will cause rescaling to be skipped.
            </p>
                    </li>
                  </ul>
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                <p>
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      <div class="refsect1">
        <a id="idp214829952"></a>
        <h2>Examples</h2>
        <p>
	    Here is an example of the GEN19 routine. It uses the files <a class="ulink" href="examples/gen19.csd" target="_top"><em class="citetitle">gen19.csd</em></a>.
      </p>
        <div class="example">
          <a id="idp214831808"></a>
          <p class="title">
            <strong>Example 1109. An example of the GEN19 routine.</strong>
          </p>
          <div class="example-contents">
            <pre class="programlisting">
<span class="csdtag">&lt;CsoundSynthesizer&gt;</span>
<span class="csdtag">&lt;CsOptions&gt;</span>
<span class="comment">; Select audio/midi flags here according to platform</span>
-odac      <span class="comment">;;;realtime audio out</span>
<span class="comment">;-iadc    ;;;uncomment -iadc if realtime audio input is needed too</span>
<span class="comment">; For Non-realtime ouput leave only the line below:</span>
<span class="comment">; -o gen19.wav -W ;;; for file output any platform</span>
<span class="csdtag">&lt;/CsOptions&gt;</span>
<span class="csdtag">&lt;CsInstruments&gt;</span>

<span class="ohdr">sr</span> <span class="op">=</span> 44100
<span class="ohdr">ksmps</span> <span class="op">=</span> 32
<span class="ohdr">nchnls</span> <span class="op">=</span> 2
<span class="ohdr">0dbfs</span>  <span class="op">=</span> 1

<span class="oblock">instr</span> 1

<span class="comment">;p4 = transposition factor</span>
<span class="comment">;p5 = speed factor</span>
<span class="comment">;p6 = function table for grain data</span>
i1    <span class="op">=</span>	<span class="ohdr">sr</span><span class="op">/</span><span class="opc">ftlen</span>(1)							<span class="comment">;scaling to reflect sample rate and table length</span>
a1    <span class="opc">phasor</span> i1<span class="op">*</span>p5							<span class="comment">;index for speed</span>
asigl <span class="opc">fog</span>    .5, 15, p4, a1, 1, 0, .01, .5, .01, 30, 1, 2, p3 		<span class="comment">;left channel</span>
asigr <span class="opc">fog</span>    .4, 25, p4<span class="op">+</span>.2, a1, 1, 0, .01, .5, .01, 30, 1, 2, p3, .5	<span class="comment">;right channel</span>
      <span class="opc">outs</span>   asigl, asigr
<span class="oblock">endin</span>

<span class="csdtag">&lt;/CsInstruments&gt;</span>
<span class="csdtag">&lt;CsScore&gt;</span>
<span class="stamnt">f</span> 1 0 131072 1 "<span class="stamnt">f</span>ox.wav" 0 0 0
<span class="stamnt">f</span> 2 0 1024 19 .5 .5 270 .5

<span class="stamnt">i</span> 1 0 10 .7  .1
<span class="stamnt">i</span> 1 + 4  1.2  2
<span class="stamnt">e</span>
<span class="csdtag">&lt;/CsScore&gt;</span>
<span class="csdtag">&lt;/CsoundSynthesizer&gt;</span>
</pre>
          </div>
        </div>
        <p><br class="example-break" />

        <span class="phrase">This is the diagram of the waveform of the GEN19 routines, as used in the example:</span>

      </p>
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          <img src="images/gen19_1.png" alt="f 2 0 1024 19 .5 .5 270 .5 - a rising sigmoid" />
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            <p>f 2 0 1024 19 .5 .5 270 .5 - a rising sigmoid</p>
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        <p>

    </p>
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      <div class="refsect1">
        <a id="idp214837920"></a>
        <h2>See Also</h2>
        <p>
       <a class="link" href="GEN09.html" title="GEN09"><em class="citetitle">GEN09</em></a> and
       <a class="link" href="GEN10.html" title="GEN10"><em class="citetitle">GEN10</em></a>
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